Sufficient conditions for uniform stabilization of second order equations by dynamical controllers

Authors
Khodja, FA Benabdallah, A
Citation
Fa. Khodja et A. Benabdallah, Sufficient conditions for uniform stabilization of second order equations by dynamical controllers, DYN C D I S, 7(2), 2000, pp. 207-222
Citations number
19
Categorie Soggetti
Engineering Mathematics
Journal title
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS
ISSN journal
12013390 → ACNP
Volume
7
Issue
2
Year of publication
2000
Pages
207 - 222
Database
ISI
SICI code
1201-3390(200006)7:2<207:SCFUSO>2.0.ZU;2-0
Abstract
We look for dynamical stabilizers for a given second order equation. Suffic ient conditions on the stabilizers are obtained. A complete description of a one-parameter family of such stabilizers is given which includes a precis e behaviour of the spectrum of the associated operators. These abstract res ults are applied to thermoelastic systems. AMS (MOS) subject classification : 35B40, 35M10, 35L05, 35L70, 93C15, 93C20.